Burdick, Bruce S.(Universitat Politècnica de València, 2003-04-01)
[EN] We investigate the use of nets indexed by preorders in uniform spaces. Nine different Cauchy conditions and four different convergence conditions yield 36 completeness properties, each of which turns out to be equivalent ...
[EN] In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi. Theorem Suppose Y is strongly regular in the space X. ...
Alghamdi, Ohud; Kalantan, Lutfi(Universitat Politècnica de València, 2022-10-03)
[EN] We present new results regarding S2-paracompactness, that we estab-lished in [1], and its relation with other properties such as S-normality, epinormality and L-paracompactness.
Arhangelskii, A.V.; Uspenskij, Vladimir V.(Universitat Politècnica de València, 2006-04-01)
[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement ...